Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600c |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
54601250000 = 24 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 11+ -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4883,-129238] |
[a1,a2,a3,a4,a6] |
Generators |
[682:17700:1] |
Generators of the group modulo torsion |
j |
51514894336/218405 |
j-invariant |
L |
10.443047882661 |
L(r)(E,1)/r! |
Ω |
0.57125660590063 |
Real period |
R |
4.5702088048412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800x1 16720l1 |
Quadratic twists by: -4 5 |